570 reputation
1414
bio website ultracold.uchicago.edu/people
location University of Chicago, IL
age 22
visits member for 2 years, 6 months
seen Nov 18 at 23:45

University of Chicago, James Franck Institute, Undergraduate.

Imperial College London, Centre for Cold Matter, PhD Candidate.

Interests in experimental atomic/molecular physics, statistical mechanics and mathematical physics.

http://www.linkedin.com/profile/view?id=233197957&trk=tab_pro

https://www.researchgate.net/profile/Dylan_Sabulsky/


Jul
2
awarded  Curious
May
13
awarded  Yearling
May
29
comment Deriving the Angular Momentum Commutator Relations by using $\epsilon_{ijk}$ Identities
Argue that (ijk) -> (xyz) and that the same answer holds for (jki) -> (yzx) etc. Changing the indices doesn't change the solution, for any permutation. You could write it out, explaining, or you could actually show the permutations are the same simply.
May
26
answered Deriving the Angular Momentum Commutator Relations by using $\epsilon_{ijk}$ Identities
May
21
accepted Inelastic Scattering and coherent scatterng
May
13
awarded  Yearling
Apr
13
awarded  Fanatic
Feb
21
comment Supplements for Kittel's Solid State Physics?
Condensed Matter Physics by Marder may also interest you, but I think his section on crystallography is tiny.
Feb
21
answered Supplements for Kittel's Solid State Physics?
Feb
17
comment Rewriting Creation and Annihilation Operators
Thanks so much for your help KDN. Awesome
Feb
17
accepted Rewriting Creation and Annihilation Operators
Feb
17
comment Rewriting Creation and Annihilation Operators
of course, it is 1. $$[a,a^{\dagger}]=1$$
Feb
17
comment Rewriting Creation and Annihilation Operators
I'm afraid it doesn't.
Feb
17
comment Rewriting Creation and Annihilation Operators
Great call, hadn't even considered it in my foolishness. $$[p_{i},r_{j}]=[p_{i},r_{j}]=-i\hbar \delta_{ij}$$ $$[R_{i},\pi_{j}]=0$$ $$[\pi_{i},\pi_{j}]=-i \epsilon_{ij} m \hbar \omega_{c}=-i \epsilon_{ij} \frac{\hbar^{2}}{l_{b}^{2}}$$ $$[R_{i},R_{j}]=i \epsilon_{ij} l_{b}^{2}$$ $$[\rho_{i},\rho_{j}]=-i \epsilon_{ij} l_{b}^{2}$$ $$[\rho_{i},\pi_{j}]=i \hbar \delta_{ij}$$ $$[p_{i},\pi_{j}]=-i \hbar \frac{e}{c} \frac{\partial A_{j}}{\partial r_{i}}$$ $$[R_{i},r_{j}]=i \epsilon_{ij} l_{b}^{2}$$ $$[\rho_{i},r_{j}]=-i \epsilon_{ij} l_{b}^{2}$$
Feb
17
comment Rewriting Creation and Annihilation Operators
For context, I am studying the quantum Hall Effect, integer and fractional, and this came up in my instructors online notes. I am unsure why you would rewrite this, and further what is the best way to approach it. To expand on my idea, I was thinking to expand $\pi$ to $\vec{\pi}=m\vec{v}=\vec{p}-\frac{q}{c}\vec{A}$ and perhaps try from there.
Feb
17
asked Rewriting Creation and Annihilation Operators
Feb
12
answered Projectile motion, canon vs cliff
Feb
12
comment Projectile motion, canon vs cliff
Working on this now. Also, the velocity of the ball at the top of the cliff is zero because if it were not, it would go higher than 85m; the question tells you it just reaches the top.
Feb
12
answered How can I understand work conceptually?
Feb
12
comment Additional mass of block on inclined plane
Thanks for showing your work Justin. In your original work I believe you did not cancel a factor of $g$ and did not evaluate the sine properly. The cloth is a ruse to get you to ignore friction effects. Friction problems of this caliber will usually tell you how to obtain friction or just give you a coefficient of friction.